Different sums after division?

Unfortunately, the headline doesn't address my question at all….

I have the following problem. Imagine two rows of numbers with the sum at the end, for example:

1 5 7 9 6 3 Total 31

3 7 1 3 9 5 Total 28

If you form the ratio from this, i.e. always divide the upper number by the lower one, then this series looks rounded like this: 0.34 0.71 7 3 0.67 0.6 Total 1.1

According to my logic, the sum of 1.1 should also be the sum of the numbers before it, but the actual sum would be much larger… Why is that? I don't understand.

(1 votes)
Loading...

Similar Posts

Subscribe
Notify of
6 Answers
Oldest
Newest Most Voted
Inline Feedbacks
View all comments
mihisu
8 months ago

This is basically the same problem many pupils have in breaking.

The following shall apply: NOT:

Instead, you have to put the fractures on the same denominator, then…

… to be able to use.

================

Let’s try a clear example…

If you add 3 sixth pieces of a pizza to 2 sixth pieces of a pizza. Then you obviously have 5 sixth pieces.

Then there are not suddenly (because of 6 + 6 = 12) twelfth pieces. You don’t have 5 twelfth pieces. Right?

That’s what you have not 2/6 + 3/6 = (2 + 3)/(6 + 6) = 5/12. One then has 2/6 + 3/6 = (2 + 3)/6 = 5/6.

Rubezahl2000
8 months ago

Because dividing doesn’t work like that!
Simple paper:

steineinhorn
8 months ago

Because your assumption is wrong. Breaking bill doesn’t work like that. a/b+c/d is not the same as (a+c)/(b+d).

augsburgchris
8 months ago

Because the basic assumption is bullshit

You can’t just separate a break and then add

(m+n)/(y+z) is not equal to (m/y)+(n/z) To add fractures, you need to expand them and bring them to a denominator.